Question

How to find the length of a diameter circle whose circumference is 44cm

Answer 1

Circumference = 2πr
= π2r
= π×diameter. (2×radius=diameter)
diameter = circumference/π
diameter = 44/(22/7)
diameter = (44×7)/22
diameter = 14cm

Answer 2

Step-by-step explanation:

GIVEN :-

• Circumference of Circle = 44 cm.

TO FIND :-

• The diameter of Circle.

SOLUTION :-

$\\ : \implies \displaystyle \sf \:Circumference = 2\pi r$

$: \implies \displaystyle \sf \: 44 \: cm = 2 \times \frac{22}{7} \times r$

$: \implies \displaystyle \sf \: \dfrac{44}{2} = \frac{22}{7} \times r$

$: \implies \displaystyle \sf \: 22= \frac{22}{7} \times r$

$: \implies \displaystyle \sf \: r = \frac{22 \times 7}{22}$

$: \implies \displaystyle \sf \: r = 7 \times 1$

$: \implies \underline{ \boxed{ \displaystyle \sf \: r = 7 \: cm}}$

_______________________…

As we know that the relation between diameter and the radius of the circle is given by,

$: \implies \displaystyle \sf \: d = 2r$

$: \implies \displaystyle \sf \: d = 2 \times 7$

$: \implies \underline{ \boxed{ \displaystyle \sf \: \bold{ d = 14\: cm}}}$